SOLUTION: Find the partial fraction decomposition. {{{ ( (7x^2)+45x+58 ) / ( (x+3)^2(x+1) ) }}}

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Question 1007683: Find the partial fraction decomposition.
+%28+%287x%5E2%29%2B45x%2B58+%29+%2F+%28+%28x%2B3%29%5E2%28x%2B1%29+%29+

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!


RightHandSide,


Continue to simplify. The numerator becomes
%28B%2BC%29x%5E2%2B%28A%2B4B%2B6C%29x%2B%28A%2B3B%2B9C%29
Compare then to the numerator in the given expression.

Solve the system system%28B%2BC=7%2CA%2B4B%2B6C=45%2CA%2B3B%2B9C=58%29.

( A quick run through the system of equations gave A=7,B=2,C=5).